2006/06/30 by Ali Mostafazadeh · 1 citation
Physics and Astronomy · #quant-ph
paper · pdf · doi:10.1007/s10582-006-0388-8
published as Czech J. Phys. 56, 919-933 (2006) · published version, 17 pages
arxiv created 2006/11/28 · arxiv updated 2009/12/01
Emphasizing the physical constraints on the formulation of a quantum theory based on the standard measurement axiom and the Schroedinger equation, we comment on some conceptual issues arising in the formulation of PT-symmetric quantum mechanics. In particular, we elaborate on the requirements of the boundedness of the metric operator and the diagonalizability of the Hamiltonian. We also provide an accessible account of a Krein-space derivation of the CPT-inner product that was widely known to mathematicians since 1950's. We show how this derivation is linked with the pseudo-Hermitian formulation of PT-symmetric quantum mechanics.